If the domain of the function f(x) = (⌊ x ⌋)/(1 + x²), where ⌊ x… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 31 January, Shift 1Functions

If the domain of the function $f(x) = \frac{\lfloor x \rfloor}{1 + x^2}, \text{ where } \lfloor x \rfloor \text{ is the greatest integer less than or equal to } x, \text{ is } [2, 6), \text{ then its range is:}$ ](streamdown:incomplete-link)

A
$\left[ \frac{5}{26}, \frac{9}{27} \right]$
B
$\left[ \frac{5}{26}, \frac{9}{29} \right]$
C
$\left[ \frac{9}{37}, \frac{29}{109} \right]$
D
$\left( \frac{5}{37}, \frac{2}{5} \right]$

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